A small company consists of 25 employees. As a service to the employees, the company arranges for each to have a complete physical for free. Among other things, the weight of each employee is measured and the mean weight is found to be 165 pounds. The population standard deviation is 20 pounds. It is believed that a mean weight of 160 pounds would be typical for this group. To see if there is evidence that the mean weight of the population of all employees of the company differs significantly from 160, the following hypotheses are tested:
H 0 : μ = 160, H a : μ > 160
You obtain a P -value of less than 0.1056. Which of the following is TRUE?
A) None of the answers is correct.
B) The sample size is too small.
C) At the 5% significance level, you have failed to show that H 0 is true and a larger sample size is needed to do so.
D) At the 5% significance level, you have proved that H 0 is true.
